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Theorems · Theorem · field theory

PerfectRing.lift_id

∀ {K : Type u_1} {M : Type u_3} [inst : CommRing K] [inst_1 : CommRing M] (j : K →+* M) (p : ℕ) [inst_2 : ExpChar M p]
  [inst_3 : ExpChar K p] [inst_4 : PerfectRing M p], PerfectRing.lift (RingHom.id K) j p = j
Defined in
Mathlib.FieldTheory.IsPerfectClosure
Cited by
1 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingExpCharExpCharPerfectRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PerfectRing.liftEquiv_id_apply · cited by 1PerfectRing.liftEquiv_id_…RingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomRingHom.ext · cited by 331RingHom.extExpChar · cited by 276ExpCharPerfectRing · cited by 154PerfectRingPerfectRing.lift · cited by 19PerfectRing.liftPerfectRing.liftAux_id_apply · cited by 3PerfectRing.liftAux_id_ap…PerfectRing.lift_idCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.